1311100222211 has 32 divisors (see below), whose sum is σ = 1517747857920. Its totient is φ = 1121741001216.

The previous prime is 1311100222141. The next prime is 1311100222253. The reversal of 1311100222211 is 1122220011131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1311100222211 - 2³⁰ = 1310026480387 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1311100222211.

It is not an unprimeable number, because it can be changed into a prime (1311100222261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64237370 + ... + 64257776.

It is an arithmetic number, because the mean of its divisors is an integer number (47429620560).

Almost surely, 2^{1311100222211} is an apocalyptic number.

1311100222211 is a deficient number, since it is larger than the sum of its proper divisors (206647635709).

1311100222211 is a wasteful number, since it uses less digits than its factorization.

1311100222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24843.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1311100222211 its reverse (1122220011131), we get a palindrome (2433320233342).

The spelling of 1311100222211 in words is "one trillion, three hundred eleven billion, one hundred million, two hundred twenty-two thousand, two hundred eleven".